Finding the Third Proportional to 214,431 and 457,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,431 : 457,363.50 = 457,363.50 : x
2. Step 2: Convert to fraction form
   214,431/457,363.50 = 457,363.50/x
3. Step 3: Cross multiply
   214,431x = 457,363.50 × 457,363.50
4. Step 4: Simplify right side
   214,431x = 209,181,371,132.25
5. Step 5: Solve for x
   x = 209,181,371,132.25/214,431
6. Step 6: Final answer
   x = 975,518.33